41202140144319 has 96 divisors (see below), whose sum is σ = 78578603311104. Its totient is φ = 20140975088640.

The previous prime is 41202140144177. The next prime is 41202140144393. The reversal of 41202140144319 is 91344104120214.

41202140144319 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 214 + 0 + 1 + 4 + 431 + 9 = 666.

It is not a de Polignac number, because 41202140144319 - 2²⁸ = 41201871708863 is a prime.

It is a super-2 number, since 2×41202140144319² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41202140144719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64513077 + ... + 65148609.

It is an arithmetic number, because the mean of its divisors is an integer number (818527117824).

Almost surely, 2^{41202140144319} is an apocalyptic number.

41202140144319 is a deficient number, since it is larger than the sum of its proper divisors (37376463166785).

41202140144319 is a wasteful number, since it uses less digits than its factorization.

41202140144319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641077 (or 641074 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41202140144319 in words is "forty-one trillion, two hundred two billion, one hundred forty million, one hundred forty-four thousand, three hundred nineteen".